2 citations · 3 across the 4 of their papers we have counts for
4 papers
Chaos on compact metric spaces generated from symbolic dynamical systems
Shousuke Ohmori
We discuss Devaney chaos on compact metric spaces using a decomposition space characterized by topological nature of symbolic dynamics. A chaotic map obtained here is defined as a…
Topological characterization of network structures of aggregates of atoms
Shousuke Ohmori, Tomoyuki Yamamoto, Akihiko Kitada
Two distinct structures of aggregates of atoms connected by anisotropic bonds with a network configuration are discussed from the viewpoint of a point set topology. A specific topo…
A not metrizable space filled with any n mutually disjoint self-similar spaces
Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto
A Lambda (Card Lambda > aleph)-product space of {0,1} has a partition {X1,...,Xn} for any n a decomposition space of each Xi of which is self-similar.(February 16, 2015)
On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
Akihiko Kitada, Tomoyuki Yamamoto, Tsuyoshi Yoshioka +1
A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space whose coarse graining is homeomorphic to . The…